Q3 of 96 Page 6

State whether the following statements are true or false? Justify your answer.
The square of an irrational number is always rational.

False

Justification:

Consider the irrational number x =

Then x² = √3, which is again an irrational number.

∴ The given statement is false.

State whether the following statements are true or false? Justify your answer.

Number of rational numbers between 15 and 18 is finite.

State whether the following statements are true or false? Justify your answer.

There are numbers which cannot be written in the form , ≠ 0, p, q both are integers.

State whether the following statements are true or false? Justify your answer.

is not a rational number as √12 and √3 are not integers.

State whether the following statements are true or false? Justify your answer.

State whether the following statements are true or false? Justify your answer.The square of an irrational number is always rational.